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Bifurcations of Planar Vector Fields
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important … mehr »
geschrieben von Freddy Dumortier (Autor) und Robert Roussarie (Autor) und Jorge Sotomayor (Autor) und Henryk Zoladek (Autor)
Developments in numerical initial value ode methods were the focal topic of the meeting at L'Aquila which explord the connections between the classical background and new research areas such as …
Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally …
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The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The …

This book examines the complicated subject of Partial Differential Equations (PDEs). It involves the reader throughout by presenting theory, examples and exercises together. Both the classical and …
2. First Order PDEs. 3. Classification of the Second Order PDEs. 4. Hyperbolic Equations. 5. Elliptic Equations. 6. Parabolic Equations. 7. Numerical Methods. 8. Lebesgue's Integral, Fourier …
Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study …
Remembrance of Things Past.- The Algebra of Rn.- The Geometry of Rn.- Linear Functions.- Curves: Mappings F: R-Rq.- Topics for Review and Preview.- Functions f: Rn-R.- Scalar-Valued Functions and …
Diese Einführung in die Numerische Mathematik behandelt die Themenbereiche Rechengenauigkeit, lineare Gleichungssysteme, Interpolation, Integration, Fouriertransformation, Nullstellenbestimmung …
This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of …
Complex numbers; Sequences and Series; Metric Space Properties of the Complex Plane; Analytic Functions; The Complex Exponential and Trigonometric Functions; The Complex Logarithm; Complex …

Designed for the freshman/sophomore Calculus I II III sequence, this work provides …

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be …
Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. …
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